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snow_tiger [21]
3 years ago
5

Round the following times to 1 decimal place 8.16

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
4 0
The answer is 8.2 bc anything above a 5 goes up.
8.16 <<< a 6 is greater than 5. So the 1 goes up to a 2.
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If 3 dice are rolled at the same time, what is the probability of all 3 dice showing even face
Bezzdna [24]
Total possible outcomes of 3 dice = 6 x 6 x 6 = 216

Total number of ways for all 3 to show even numbers:
222
224
226
242
244
246
262
264
266
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etc.    There 27 of them.

Probability = 27 / 216 = <u>1/8</u> = 12.5 percent .
5 0
3 years ago
Ronnie collects horseshoes and hand grenades and places
lesantik [10]

Answer: 3.5 pounds

Step-by-step explanation:

3 s   + 7 h = 32        s = shoes   h= hand grenades

6 s   + 2 h = 22        Multiply first equation by -2   and add to second equation to get :

-12 h = -42

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8 0
2 years ago
Prove the trig identity: (tanx/1+secx)+(1+secx/tanx)=2cscx
lakkis [162]
=[(sinx/cosx)/(1+1/cosx)] + [(1+1/cosx)/(sinx/cosx)]

=[(sinx/cosx)/(cosx+1/cosx)]+[(cosx+1/cosx)/(sinx/cosx)]

= [sinx/(cosx+1)] + [(cosx+1)/sinx]

= [sin^2x+(cosx+1)^2] / [sinx (cosx+1)]

= [2+2cosx] / [sinx(cosx+1)]

=[2(cosx+1)] / [sinx (cosx+1)]

= 2/sinx

= 2 cscx

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7 0
3 years ago
Find f(2) if f(x) = 2^x +3
alexira [117]

Answer:

f(2)=7

Step-by-step explanation:

Plug it in

f(x)=2^x+3

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f(2)=4+3

f(2)=7

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8 0
3 years ago
Read 2 more answers
Jessica, Kareem, and Lamar served a total of 64 orders Monday at the school cafeteria. Jessica served 8 fewer orders than Lamar.
sergey [27]

Answer:

Jessica: 10 orders

Lamar: 18 orders

Kareem: 36 orders

Step-by-step explanation:

Let's first designate each person with a letter.

The number of orders served by Jessica can be designated as J

The number of orders served by Kareem can be designated as K

The number of orders served by Lamar can be designated as L

We know that they all served a total of 64 orders. This can be expressed as the sum of their orders equaling 64.

J+K+L=64

We also know that Jessica served 8 fewer orders than Lamar. This can be expressed as the number of orders served by Jessica, J, being equal to Lamar's orders L minus 8.

J = L-8

Fianlly, we know that Kareem served twice as many orders as Lamar. This can be expressed as the number of order's served by Kareem, K, being 2 times Lamar's orders L.

K = 2L

With these 2 equalities, we can substitute J and K in our original equation,

J+K+L=64

with their values expressed as a subtraction or multiplication of L.

J will be substituted with L-8, and K will be substituted with 2L.

J+K+L=64

With substitutions:

(L-8) + 2L + L = 64

We can simplify this by combining the L-terms:

L + 2L + L -8 = 64\\4L - 8 = 64

Next, we'll add 8 to both sides.

4L = 72

Divide both sides by 4:

L = 18

Thus, Lamar served 18 orders.

Using our expressions, we can find how many orders the others served.

Jessica:

J = L-8\\J = 18 -8\\J = 10

Jessica served 10 orders.

Kareem:

K = 2L\\K = 2*18\\K = 36

Kareem served 36 orders.

4 0
3 years ago
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